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From: Dr. P. M. F. <pfe...@ve...> - 2009年10月28日 03:12:44
Starting with code written by Jae-Joon Lee, I constructed a template program
for creating plots with multiple y-axes. The program mostly works, but there
are two odd glitches:
(1) Not only is the y-axis for dependent variable #1 blue (as it should be),
but the entire frame around the plot is blue.
(2) The y-axis for dependent variable #2 has two sets of tick labels. The
set in black contains the correct values in the correct positions, but has
the wrong color. The other set of tick labels has the correct color (dark
red), but the values and locations are wrong. (In fact, these are same
values and positions as for dependent variable #1).
http://www.nabble.com/file/p26088693/multiple_yaxes_with_spines.png 
http://www.nabble.com/file/p26088693/multiple_yaxes_with_spines.py
multiple_yaxes_with_spines.py 
Any suggestions as to how I can fix these two problems will be greatly
appreciated.
P.S. I'm creating this program for use by students in the Engineering
Academy at Dos Pueblos High School, partly because they need something like
this for the projects that they are working on, and partly because I would
like to have them get some exposure to Python and Matplotlib.
P.P.S. This program has to be able to correctly generate a plot with 2, 3,
or 4 y-axes, although it would be good if it can also handle the
conventional case of a single y-axis. Students should be able to create
plots by simply inserting their data into the code and changeing the
variable label text strings.
-- 
View this message in context: http://www.nabble.com/spines-are-tricky%21-tp26088693p26088693.html
Sent from the matplotlib - users mailing list archive at Nabble.com.
From: Jae-Joon L. <lee...@gm...> - 2009年10月28日 22:08:12
On Tue, Oct 27, 2009 at 11:12 PM, Dr. Phillip M. Feldman
<pfe...@ve...> wrote:
> (1) Not only is the y-axis for dependent variable #1 blue (as it should be),
> but the entire frame around the plot is blue.
>
at line 158, you're changing the color of all spines. Change the color
of spine that you only want to change.
> (2) The y-axis for dependent variable #2 has two sets of tick labels. The
> set in black contains the correct values in the correct positions, but has
> the wrong color. The other set of tick labels has the correct color (dark
> red), but the values and locations are wrong. (In fact, these are same
> values and positions as for dependent variable #1).
At line 113, you're creating 4 twinx axes, instead of 3, i.e, the
figure has total of 5 axes.
Also, I recommend you to use the pythonic convention that list index
starts from 0.
Regards,
-JJ
From: Phillip M. F. <pfe...@ve...> - 2009年10月28日 23:21:17
# multiple_yaxes_with_spines.py
# This is a template Python program for creating plots (line graphs) with 2, 3,
# or 4 y-axes. (A template program is one that you can readily modify to meet
# your needs). Almost all user-modifiable code is in Section 2. For most
# purposes, it should not be necessary to modify anything else.
# Dr. Phillip M. Feldman, 27 Oct, 2009
# Acknowledgment: This program is based on code written by Jae-Joon Lee,
# URL= http://matplotlib.svn.sourceforge.net/viewvc/matplotlib/trunk/matplotlib/
# examples/pylab_examples/multiple_yaxis_with_spines.py?revision=7908&view=markup
# Section 1: Import modules, define functions, and allocate storage.
import matplotlib.pyplot as plt
from numpy import *
def make_patch_spines_invisible(ax):
 ax.set_frame_on(True)
 ax.patch.set_visible(False)
 for sp in ax.spines.itervalues():
 sp.set_visible(False)
def set_spine_direction(ax, direction):
 if direction in ["right", "left"]:
 ax.yaxis.set_ticks_position(direction)
 ax.yaxis.set_label_position(direction)
 elif direction in ["top", "bottom"]:
 ax.xaxis.set_ticks_position(direction)
 ax.xaxis.set_label_position(direction)
 else:
 raise ValueError("Unknown Direction: %s" % (direction,))
 ax.spines[direction].set_visible(True)
# Create list to store dependent variable data:
y= [0, 0, 0, 0]
# Section 2: Define names of variables and the data to be plotted.
# `labels` stores the names of the independent and dependent variables). The
# first (zeroth) item in the list is the x-axis label; remaining labels are the
# first y-axis label, second y-axis label, and so on. There must be at least
# two dependent variables and not more than four.
labels= ['Indep. Variable', 'Dep. Variable #1', 'Dep. Variable #2',
 'Dep. Variable #3', 'Dep. Variable #4']
# Plug in your data here, or code equations to generate the data if you wish to
# plot mathematical functions. x stores values of the independent variable;
# y[0], y[1], ... store values of the dependent variables. Each of these should
# be a NumPy array.
# If you are plotting mathematical functions, you will probably want an array of
# uniformly spaced values of x; such an array can be created using the
# `linspace` function. For example, to define x as an array of 51 values
# uniformly spaced between 0 and 2, use the following command:
# x= linspace(0., 2., 51)
# Here is an example of 6 experimentally measured values for the first dependent
# variable:
# y[0]= array( [3, 2.5, 7.3e4, 4, 8, 3] )
# Note that the above statement requires both parentheses and square brackets.
# With a bit of work, one could make this program read the data from a text file
# or Excel worksheet.
# Independent variable:
x= linspace(0., 2., 51)
# First dependent variable:
y[0]= sqrt(x)
# Second dependent variable:
y[1]= 0.2 + x**0.3 - 0.1*x**2
y[2]= 30.*sin(1.5*x)
y[3]= 30.*abs(cos(1.5*x))
# Set line colors here; each color can be specified using a single-letter color
# identifier ('b'= blue, 'r'= red, 'g'= green, 'k'= black, 'y'= yellow,
# 'm'= magenta, 'y'= yellow), an RGB tuple, or almost any standard English color
# name written without spaces, e.g., 'darkred'.
colors= ['b', 'darkred', 'g', 'magenta']
# Set the line width here. linewidth=2 is recommended.
linewidth= 2
# Set the axis label size in points here. 16 is recommended.
axis_label_size= 16
# Section 3: Generate the plot.
N_dependents= len(labels) - 1
if N_dependents > 4: raise Exception, \
 'This code currently handles a maximum of four independent variables.'
# Open a new figure window, setting the size to 10-by-7 inches and the facecolor
# to white:
fig= plt.figure(figsize=(10,7), dpi=120, facecolor=[1,1,1])
host= fig.add_subplot(111)
# Use twinx() to create extra axes for all dependent variables except the first
# (we get the first as part of the host axes).
y_axis= N_dependents * [0]
y_axis[0]= host
for i in range(1,len(labels)): y_axis[i-1]= host.twinx()
if N_dependents >= 3:
 # The following statement positions the third y-axis to the right of the
 # frame, with the space between the frame and the axis controlled by the
 # numerical argument to set_position; this value should be between 1.10 and
 # 1.2.
 y_axis[2].spines["right"].set_position(("axes", 1.15))
 make_patch_spines_invisible(y_axis[2])
 set_spine_direction(y_axis[2], "right")
 plt.subplots_adjust(left=0.0, right=0.8)
if N_dependents >= 4:
 # The following statement positions the fourth y-axis to the left of the
 # frame, with the space between the frame and the axis controlled by the
 # numerical argument to set_position; this value should be between 1.10 and
 # 1.2.
 y_axis[3].spines["left"].set_position(("axes", -0.15))
 make_patch_spines_invisible(y_axis[3])
 set_spine_direction(y_axis[3], "left")
 plt.subplots_adjust(left=0.2, right=0.8)
p= N_dependents * [0]
# Plot the curves:
for i in range(N_dependents):
 p[i], = y_axis[i].plot(x, y[i], colors[i],
 linewidth=linewidth, label=labels[i])
# Set axis limits. Use ceil() to force upper y-axis limits to be round numbers.
host.set_xlim(x.min(), x.max())
# Label the x-axis:
host.set_xlabel(labels[0], size=axis_label_size)
for i in range(N_dependents):
 # Label the y-axis and set text color:
 y_axis[i].set_ylabel(labels[i+1], size=axis_label_size)
 y_axis[i].yaxis.label.set_color(colors[i])
 # If you want to override the default axis limits, uncomment the following
 # line of code and adjust arguments appropriately:
 # y_axis[i].set_ylim(0.0, ceil(y[i].max()))
 if i== 1: y_axis[i].set_ylim(0.0, 1.5)
 j= 0
 for sp in y_axis[i].spines.itervalues():
 if j==i: sp.set_color(colors[i])
 j+= 1
 for obj in y_axis[i].yaxis.get_ticklines():
 # `obj` is a matplotlib.lines.Line2D instance
 obj.set_color(colors[i])
 obj.set_markeredgewidth(3)
 for obj in y_axis[i].yaxis.get_ticklabels():
 obj.set_color(colors[i])
 obj.set_size(12)
 obj.set_weight(600)
# To enable the legend, uncomment the following two lines:
# lines= p[1:]
# host.legend(lines, [l.get_label() for l in lines])
plt.draw(); plt.show()
From: Jae-Joon L. <lee...@gm...> - 2009年10月28日 23:45:43
Attachments: spine_multiy_test.py
On Wed, Oct 28, 2009 at 7:20 PM, Phillip M. Feldman
<pfe...@ve...> wrote:
> If I get one y-axis with the 'host', and each invocation of twinx adds
> another y-axis, then it seems that I must invoke twinx three times to get
> four y-axes. Does twinx add more than one y-axis per invocation? (The
> documentation that I've been able to find is ambiguous about this).
twinx add a single axes.
In your original code, you were calling twinx 4-times.
See if the attached code works.
While I acknowledge that using spines with multiple y-axis is a bit
tricky, I don't think the situation will change anytime soon.
Regards,
-JJ
From: Phillip M. F. <pfe...@ve...> - 2009年10月28日 23:27:50
# multiple_yaxes_with_spines.py
# This is a template Python program for creating plots (line graphs) with 2, 3,
# or 4 y-axes. (A template program is one that you can readily modify to meet
# your needs). Almost all user-modifiable code is in Section 2. For most
# purposes, it should not be necessary to modify anything else.
# Dr. Phillip M. Feldman, 27 Oct, 2009
# Acknowledgment: This program is based on code written by Jae-Joon Lee,
# URL= http://matplotlib.svn.sourceforge.net/viewvc/matplotlib/trunk/matplotlib/
# examples/pylab_examples/multiple_yaxis_with_spines.py?revision=7908&view=markup
# Section 1: Import modules, define functions, and allocate storage.
import matplotlib.pyplot as plt
from numpy import *
def make_patch_spines_invisible(ax):
 ax.set_frame_on(True)
 ax.patch.set_visible(False)
 for sp in ax.spines.itervalues():
 sp.set_visible(False)
def set_spine_direction(ax, direction):
 if direction in ["right", "left"]:
 ax.yaxis.set_ticks_position(direction)
 ax.yaxis.set_label_position(direction)
 elif direction in ["top", "bottom"]:
 ax.xaxis.set_ticks_position(direction)
 ax.xaxis.set_label_position(direction)
 else:
 raise ValueError("Unknown Direction: %s" % (direction,))
 ax.spines[direction].set_visible(True)
# Create list to store dependent variable data:
y= [0, 0, 0, 0]
# Section 2: Define names of variables and the data to be plotted.
# `labels` stores the names of the independent and dependent variables). The
# first (zeroth) item in the list is the x-axis label; remaining labels are the
# first y-axis label, second y-axis label, and so on. There must be at least
# two dependent variables and not more than four.
labels= ['Indep. Variable', 'Dep. Variable #1', 'Dep. Variable #2',
 'Dep. Variable #3', 'Dep. Variable #4']
# Plug in your data here, or code equations to generate the data if you wish to
# plot mathematical functions. x stores values of the independent variable;
# y[0], y[1], ... store values of the dependent variables. Each of these should
# be a NumPy array.
# If you are plotting mathematical functions, you will probably want an array of
# uniformly spaced values of x; such an array can be created using the
# `linspace` function. For example, to define x as an array of 51 values
# uniformly spaced between 0 and 2, use the following command:
# x= linspace(0., 2., 51)
# Here is an example of 6 experimentally measured values for the first dependent
# variable:
# y[0]= array( [3, 2.5, 7.3e4, 4, 8, 3] )
# Note that the above statement requires both parentheses and square brackets.
# With a bit of work, one could make this program read the data from a text file
# or Excel worksheet.
# Independent variable:
x= linspace(0., 2., 51)
# First dependent variable:
y[0]= sqrt(x)
# Second dependent variable:
y[1]= 0.2 + x**0.3 - 0.1*x**2
y[2]= 30.*sin(1.5*x)
y[3]= 30.*abs(cos(1.5*x))
# Set line colors here; each color can be specified using a single-letter color
# identifier ('b'= blue, 'r'= red, 'g'= green, 'k'= black, 'y'= yellow,
# 'm'= magenta, 'y'= yellow), an RGB tuple, or almost any standard English color
# name written without spaces, e.g., 'darkred'.
colors= ['b', 'darkred', 'g', 'magenta']
# Set the line width here. linewidth=2 is recommended.
linewidth= 2
# Set the axis label size in points here. 16 is recommended.
axis_label_size= 16
# Section 3: Generate the plot.
N_dependents= len(labels) - 1
if N_dependents > 4: raise Exception, \
 'This code currently handles a maximum of four independent variables.'
# Open a new figure window, setting the size to 10-by-7 inches and the facecolor
# to white:
fig= plt.figure(figsize=(10,7), dpi=120, facecolor=[1,1,1])
host= fig.add_subplot(111)
# Use twinx() to create extra axes for all dependent variables except the first
# (we get the first as part of the host axes).
y_axis= N_dependents * [0]
y_axis[0]= host
for i in range(1,N_dependents): y_axis[i]= host.twinx()
if N_dependents >= 3:
 # The following statement positions the third y-axis to the right of the
 # frame, with the space between the frame and the axis controlled by the
 # numerical argument to set_position; this value should be between 1.10 and
 # 1.2.
 y_axis[2].spines["right"].set_position(("axes", 1.15))
 make_patch_spines_invisible(y_axis[2])
 set_spine_direction(y_axis[2], "right")
 plt.subplots_adjust(left=0.0, right=0.8)
if N_dependents >= 4:
 # The following statement positions the fourth y-axis to the left of the
 # frame, with the space between the frame and the axis controlled by the
 # numerical argument to set_position; this value should be between 1.10 and
 # 1.2.
 y_axis[3].spines["left"].set_position(("axes", -0.15))
 make_patch_spines_invisible(y_axis[3])
 set_spine_direction(y_axis[3], "left")
 plt.subplots_adjust(left=0.2, right=0.8)
p= N_dependents * [0]
# Plot the curves:
for i in range(N_dependents):
 p[i], = y_axis[i].plot(x, y[i], colors[i],
 linewidth=linewidth, label=labels[i])
# Set axis limits. Use ceil() to force upper y-axis limits to be round numbers.
host.set_xlim(x.min(), x.max())
# Label the x-axis:
host.set_xlabel(labels[0], size=axis_label_size)
for i in range(N_dependents):
 # Label the y-axis and set text color:
 y_axis[i].set_ylabel(labels[i+1], size=axis_label_size)
 y_axis[i].yaxis.label.set_color(colors[i])
 # If you want to override the default axis limits, uncomment the following
 # line of code and adjust arguments appropriately:
 # y_axis[i].set_ylim(0.0, ceil(y[i].max()))
 if i== 1: y_axis[i].set_ylim(0.0, 1.5)
 j= 0
 for sp in y_axis[i].spines.itervalues():
 if j==i: sp.set_color(colors[i])
 j+= 1
 for obj in y_axis[i].yaxis.get_ticklines():
 # `obj` is a matplotlib.lines.Line2D instance
 obj.set_color(colors[i])
 obj.set_markeredgewidth(3)
 for obj in y_axis[i].yaxis.get_ticklabels():
 obj.set_color(colors[i])
 obj.set_size(12)
 obj.set_weight(600)
# To enable the legend, uncomment the following two lines:
# lines= p[1:]
# host.legend(lines, [l.get_label() for l in lines])
plt.draw(); plt.show()
From: Phillip M. F. <pfe...@ve...> - 2009年10月28日 23:57:53
This is tremendous. thanks!!
Phillip
Jae-Joon Lee wrote:
> On Wed, Oct 28, 2009 at 7:20 PM, Phillip M. Feldman
> <pfe...@ve...> wrote:
> 
>> If I get one y-axis with the 'host', and each invocation of twinx adds
>> another y-axis, then it seems that I must invoke twinx three times to get
>> four y-axes. Does twinx add more than one y-axis per invocation? (The
>> documentation that I've been able to find is ambiguous about this).
>> 
>
> twinx add a single axes.
> In your original code, you were calling twinx 4-times.
>
> See if the attached code works.
>
> While I acknowledge that using spines with multiple y-axis is a bit
> tricky, I don't think the situation will change anytime soon.
>
> Regards,
>
> -JJ
> 
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